| Popis: |
Let a set {Xλ; λ ∈ Λ} of subspaces of a topological space X be a cover of X. Mathematical conditions are proposed for each subspace Xλ to define a map g X λ : X λ → X which has the following property specific to the tent map known in the baker’s transformation. Namely, for any infinite sequence ω0, ω1, ω2, … of Xλ, λ ∈ Λ, we can find an initial point x0 ∈ ω0 such that g ω 0 ( x 0 ) ∈ ω 1 , g ω 1 ( g ω 0 ( x 0 ) ) ∈ ω 2 , … . The conditions are successfully applied to a closed cover of a weak self-similar set. |
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